If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.5 * 32x2 + 24x + 50 = 0 Multiply -0.5 * 32 -16x2 + 24x + 50 = 0 Reorder the terms: 50 + 24x + -16x2 = 0 Solving 50 + 24x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 12x + -8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 12x + -8x2)' equal to zero and attempt to solve: Simplifying 25 + 12x + -8x2 = 0 Solving 25 + 12x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -3.125 + -1.5x + x2 = 0 Move the constant term to the right: Add '3.125' to each side of the equation. -3.125 + -1.5x + 3.125 + x2 = 0 + 3.125 Reorder the terms: -3.125 + 3.125 + -1.5x + x2 = 0 + 3.125 Combine like terms: -3.125 + 3.125 = 0.000 0.000 + -1.5x + x2 = 0 + 3.125 -1.5x + x2 = 0 + 3.125 Combine like terms: 0 + 3.125 = 3.125 -1.5x + x2 = 3.125 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 3.125 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 3.125 + 0.5625 Combine like terms: 3.125 + 0.5625 = 3.6875 0.5625 + -1.5x + x2 = 3.6875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 3.6875 Calculate the square root of the right side: 1.920286437 Break this problem into two subproblems by setting (x + -0.75) equal to 1.920286437 and -1.920286437.Subproblem 1
x + -0.75 = 1.920286437 Simplifying x + -0.75 = 1.920286437 Reorder the terms: -0.75 + x = 1.920286437 Solving -0.75 + x = 1.920286437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 1.920286437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.920286437 + 0.75 x = 1.920286437 + 0.75 Combine like terms: 1.920286437 + 0.75 = 2.670286437 x = 2.670286437 Simplifying x = 2.670286437Subproblem 2
x + -0.75 = -1.920286437 Simplifying x + -0.75 = -1.920286437 Reorder the terms: -0.75 + x = -1.920286437 Solving -0.75 + x = -1.920286437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -1.920286437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.920286437 + 0.75 x = -1.920286437 + 0.75 Combine like terms: -1.920286437 + 0.75 = -1.170286437 x = -1.170286437 Simplifying x = -1.170286437Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.670286437, -1.170286437}Solution
x = {2.670286437, -1.170286437}
| x^3+6x^2+9x=5 | | 10x+1=2x+73 | | (-1+i)-(-2-i)=0 | | -50+8x=5x+52 | | x^3+3x^2-3x=0 | | (5x+10)+7x= | | -3(x-4)+4=-4(3x-3)+6+13x | | 16m=76 | | 2x-5y=-25 | | 4(3x+8)=80 | | 6(5x+11)-9x= | | 35=-7+3n | | 23n-24n= | | 2=15x^2+x | | y=0.13x+585 | | 4(3n+3)=9(9n+1)+5 | | (x-(8/x))^2-5(x-(8/x))-14=0 | | 12x-127=4x+169 | | (8x^4-2x^2+3x-5)-(2x^4+x^3+3x+5)= | | (3x+3)+(15-3x)= | | 7(2n+2)=7(7n+7)+9 | | 4(q)+(-1)(1-q)=1(q)+2(1-q) | | -4n(6n-5)+3n= | | 5(x+3)=4x+14 | | 0.9x-5.3=0.1 | | (9x-6)+6= | | 2+-6m=-4m+10 | | -9(y-1)=2-8y | | -3x(x+5)-7=-8+10 | | 3a-(5-3a)=10 | | 4(q)+(-1)(1-q)=1q+2(1-q) | | 5x+-6=3x+-8 |